We study abstract integro-differential equations serving as operator models for problems arising in viscoelasticity. The results are based on an approach related to the study of one-parameter semigroups for linear evolution equations. The approach proposed can be used when investigating other integro-differential equations containing integral terms of the form of Volterra convolution.

中文翻译：

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由Volterra积分微分方程产生的半群的性质

我们研究抽象的积分微分方程作为粘弹性问题的算子模型。结果基于一种与线性演化方程的单参数半群研究相关的方法。当研究包含 Volterra 卷积形式的积分项的其他积分微分方程时，可以使用所提出的方法。